AoPS Wiki:Problem of the Day/June 4, 2011

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Revision as of 21:54, 3 June 2011 by Btilm305 (talk | contribs) (Protected "AoPSWiki:Problem of the Day/June 4, 2011": Problem of the day ([edit=sysop] (indefinite) [move=sysop] (indefinite)))

${x}$ is defined by the smallest positive decimal such that when subtracted from $x$, you get an integer, and $0<\{x\}<1$

Find $x$ such that $10*\{x\}^2+\frac{\lfloor x \rfloor}{\lceil x\rceil}=\frac{9}{10}$

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